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[tex]vertex:\\\\x+4=0\to x=-4\\\\vertex\ is\ (-4;\ 0)\\\\look\ at\ the\ picture[/tex]
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Answer: The vertex of the given function is (-4,0).

Step-by-step explanation:

Since, the standard form of an absolute function is,

y = a|x-h| + k

Where (h,k) is the vertex of the function,

Here, the given function is,

y = -|x+4|

⇒ y = (-1)|x-(-4)| + k

By comparing,

We get, a = -1, h = -4 and k= 0

Hence, the vertex of the given function is (-4,0).